Oligopoly (Cambridge AS & A‑Level Economics 9708)
1. Definition and Core Characteristics
- Definition (7.6.1): A market structure in which a small number of large firms dominate an industry and each firm’s decisions on price, output and advertising are mutually inter‑dependent.
- Key characteristics (7.6.2‑7.6.5):
- Few dominant firms (normally 2‑10).
- High barriers to entry (see 1.1).
- Products may be homogeneous (e.g., steel) or differentiated (e.g., cars, smartphones).
- Strategic price‑setting behaviour: each firm must anticipate the likely reaction of rivals when it changes price, output or advertising.
- Potential for collusion (explicit or tacit) and for various forms of non‑price competition.
1.1 Barriers to Entry (required by the syllabus)
- Economies of scale – lower average costs at large output.
- High sunk costs (e.g., costly plant, network infrastructure).
- Patents, licences and other legal protections.
- Brand loyalty and heavy advertising.
- Control of essential resources or distribution channels.
1.2 Measuring Market Concentration (7.6.6)
Two quantitative tools are used in the syllabus to assess the degree of oligopoly.
| Measure |
Formula |
Cambridge interpretation thresholds |
| Concentration Ratio (CR4 or CR5) |
Sum of market shares of the 4 (or 5) largest firms |
CR ≥ 60 % → high concentration (oligopoly); 40‑60 % → moderate; < 40 % → low. |
| Herfindahl‑Hirschman Index (HHI) |
Σ (market share2) for all firms (share expressed as a percentage) |
HHI ≥ 2500 → highly concentrated; 1500‑2500 → moderately concentrated; < 1500 → competitive. |
Example: Market shares 30 %, 25 %, 20 % and 15 % for the four biggest firms.
- CR4 = 30 % + 25 % + 20 % + 15 % = 90 % → highly concentrated.
- HHI = 30² + 25² + 20² + 15² = 900 + 625 + 400 + 225 = 2150 → moderately‑high concentration.
2. Behavioural Models of Oligopoly (7.6.7)
2.1 Kinked‑Demand Curve – Explanation of Price Rigidity
- Assumes firms expect rivals to match price cuts but not price rises.
- Demand is elastic above the current price and inelastic below it, producing a “kink” at the prevailing price.
- The associated marginal‑revenue (MR) curve has a discontinuity; marginal cost can move within a range without changing price.
- Used in the syllabus to explain why oligopolistic markets often exhibit **price stability** despite cost changes.
2.2 Cournot Model – Quantity Competition (simultaneous move)
Firms choose output simultaneously, treating rivals’ quantities as given.
Derivation sketch (duopoly):
- Profit of firm 1: \(\pi_1 = [P(Q_1+Q_2)-C_1]Q_1\).
- First‑order condition: \(\frac{\partial\pi_1}{\partial Q_1}=0 \Rightarrow P' (Q_1+Q_2)Q_1 + P(Q_1+Q_2)-C_1 =0\).
- Re‑arrange to obtain firm 1’s reaction function \(Q_1 = R_1(Q_2)\). Do the same for firm 2.
- The intersection of \(R_1\) and \(R_2\) gives the Cournot equilibrium output.
- Output is lower than in perfect competition but higher than a monopoly.
- Price is above marginal cost but below the monopoly price.
2.3 Bertrand Model – Price Competition (simultaneous move)
- Firms set prices simultaneously, assuming rivals’ prices are fixed.
- Homogeneous‑product case (Bertrand paradox): with constant marginal cost \(c\), the Nash‑equilibrium price is \(P = c\). Any higher price would be undercut.
- Product‑differentiated case: each firm faces a downward‑sloping demand curve; equilibrium price exceeds marginal cost.
Derivation sketch (homogeneous product):
- If both firms charge \(P>c\), the lower‑priced firm captures the whole market.
- Each firm can increase profit by marginally undercutting the rival until price equals \(c\).
- When \(P=c\), any further cut would give a loss; any increase would be unprofitable because the rival would undercut.
2.4 Stackelberg Model – Leader‑Follower Quantity Competition
One firm (the leader) chooses output first; the follower observes this and then chooses its own output.
Derivation sketch (duopoly):
- Follower’s reaction function \(Q_2 = R_2(Q_1)\) is derived as in Cournot.
- Leader anticipates this response and maximises \(\pi_1 = [P(Q_1+R_2(Q_1))-C_1]Q_1\).
- First‑order condition yields the leader’s optimal output \(Q_1^{*}\); substitute into \(R_2\) to obtain follower’s output.
- Leader enjoys a first‑mover advantage and earns higher profit than the follower.
- Total industry output is greater than in Cournot, so market price is lower.
2.5 Price‑Leadership (Dominant‑Firm Model) – 7.6.7
- One large “dominant” firm sets the market price, usually at a level close to its marginal cost.
- Smaller “price‑follower” firms accept this price and compete on output (their marginal cost is higher than the dominant firm’s).
- Diagrammatically, the dominant firm’s marginal cost curve determines price; the followers’ marginal cost curves determine the quantity they supply at that price.
- Common in markets where a clear market leader exists (e.g., hub‑carrier airlines, major telecom operators).
3. Collusion, Cartels and Tacit Coordination (7.6.8)
3.1 Explicit Collusion – Cartels
- Formal agreement to fix prices, limit output, or allocate markets.
- Behaviour mimics a monopoly – joint profit maximisation.
- Example: OPEC’s oil‑production quotas.
- Legal status: illegal under most competition‑law regimes; penalties include heavy fines, imprisonment and civil damages.
3.2 Tacit Collusion
- No written agreement; firms coordinate implicitly through signalling, price‑leadership or mutual forbearance.
- Typical forms:
- Price leadership (see 2.5).
- Mutual forbearance – firms avoid aggressive price cuts.
- Parallel non‑price competition – matching advertising spend or R&D intensity.
- Harder to prove legally, but competition authorities still monitor for “concerted practices”.
4. Types of Competition in Oligopoly
4.1 Price Competition
- Illustrated by the Bertrand model and price‑leadership.
- Can lead to price wars (Prisoner’s Dilemma outcome) when firms defect from a collusive arrangement.
4.2 Non‑Price Competition
- Advertising and branding (e.g., car manufacturers).
- Product differentiation – quality, design, after‑sales service.
- Research & Development – creating perceived superiority.
- Loyalty programmes, warranties, financing offers.
5. Game Theory and Strategic Interaction (AO2‑AO3)
- Normal‑form (matrix) games illustrate strategic choices.
- Key concepts:
- Dominant strategy – a strategy that yields a higher payoff regardless of the rival’s action.
- Nash equilibrium – a set of strategies where no player can improve profit by unilaterally deviating.
- Prisoner’s Dilemma – shows why rational firms may end up in a price war even though cooperation would give higher joint profit.
| Firm A \ Firm B |
Co‑operate |
Defect |
| Co‑operate |
(\(\pi_{CC},\pi_{CC}\)) |
(\(\pi_{CD},\pi_{DC}\)) |
| Defect |
(\(\pi_{DC},\pi_{CD}\)) |
(\(\pi_{DD},\pi_{DD}\)) |
Typical ranking: \(\pi_{DD} > \pi_{CD} > \pi_{CC} > \pi_{DC}\). The unique Nash equilibrium is (Defect, Defect) – a price war.
6. Advantages and Disadvantages of Oligopoly
| Advantages |
Disadvantages |
- Economies of scale → lower average costs.
- Resources for R&D, innovation and large‑scale advertising.
- Stable employment and long‑term investment.
- Potential for “efficient” outcomes when firms cooperate (e.g., price‑leadership avoids wasteful price wars).
|
- Higher prices and reduced output compared with perfect competition.
- Risk of collusive behaviour that harms consumer welfare.
- Strategic uncertainty can lead to wasteful advertising or destructive price wars.
- Barriers to entry limit competition and can entrench market power.
|
7. Real‑World Examples (7.6.9)
- Automobile industry – few global manufacturers (Toyota, Volkswagen, GM); heavy branding, R&D – illustrates product differentiation and non‑price competition.
- Airline markets on major routes – dominant hub carriers set fares; smaller airlines follow – classic price‑leadership.
- Telecommunications – limited number of network owners, high sunk costs and spectrum licences – high barriers, often a dominant‑firm situation.
- Oil market – OPEC – explicit cartel that coordinates output – example of explicit collusion.
- Soft‑drink market (Coca‑Cola vs. PepsiCo) – intense advertising, product line extensions – non‑price competition.
- Cement industry (e.g., Lafarge‑Holcim vs. HeidelbergCement) – duopoly with relatively homogeneous product – often used to illustrate the Cournot model.
- Airline ticket pricing (low‑cost carriers vs. legacy airlines) – frequent under‑cutting shows Bertrand‑type price competition.
- Smart‑phone operating systems (Google Android vs. Apple iOS) – leader‑follower dynamics resembling Stackelberg, where Android’s early market share influences Apple’s strategic choices.
8. Diagrammatic Illustrations (AO1)
- Kinked‑demand curve with the associated marginal‑revenue discontinuity.
- Cournot reaction‑function diagram for a duopoly.
- Bertrand price‑under‑cutting diagram (price = marginal cost).
- Stackelberg leader‑follower output diagram.
- Price‑leadership diagram showing dominant‑firm marginal cost, market price and follower output.
- Concentration‑ratio and HHI calculation example.
Diagram Checklist (what examiners look for)
- Axes clearly labelled (Price on vertical, Quantity on horizontal).
- All relevant curves (Demand, MR, MC, Reaction functions, etc.) drawn and labelled.
- Key points marked (kink, equilibrium output, price, profit‑maximising point).
- Shaded areas where appropriate (e.g., dead‑weight loss, profit).
9. Welfare Analysis and Competition Policy (A‑Level extension)
- Compared with perfect competition, oligopoly typically results in:
- Lower consumer surplus (higher price).
- Higher producer surplus (profits above normal).
- Dead‑weight loss due to reduced output.
- If firms collude (explicitly or tacitly) the welfare loss is larger – the market behaves like a monopoly.
- Competition authorities (e.g., the Competition and Markets Authority, EU Commission) use tools such as:
- Market‑share thresholds (CR ≥ 60 %, HHI ≥ 2500) to identify oligopolies.
- Investigations into price‑fixing, market‑sharing or abuse of dominant position.
- Policy responses include:
- Merger control – preventing further concentration.
- Regulation of dominant firms (price caps, access‑to‑infrastructure rules).
- Encouraging entry (e.g., reducing sunk‑cost barriers).
10. Key Points to Remember for Exams (AO1‑AO3)
- Identify an oligopolistic market by the number of firms, barriers to entry, and concentration measures (CR4, HHI).
- Explain price rigidity using the kinked‑demand model; contrast with the outcomes of Cournot (quantity) and Bertrand (price) competition.
- Distinguish the four main behavioural models (Kinked‑Demand, Cournot, Bertrand, Stackelberg) and state when each is most appropriate:
- Kinked‑Demand – price rigidity, homogeneous or differentiated products.
- Cournot – firms choose output, simultaneous move, product relatively homogeneous.
- Bertrand – firms choose price, simultaneous move, homogeneous product (paradox) or differentiated product.
- Stackelberg – clear leader‑follower timing, usually in markets with capacity‑setting advantage.
- Define and differentiate:
- Explicit collusion (cartels) vs. tacit collusion (price leadership, mutual forbearance).
- Price competition vs. non‑price competition (advertising, product differentiation, R&D).
- Apply game‑theoretic terminology: dominant strategy, Nash equilibrium, Prisoner’s Dilemma. Be able to draw a simple 2×2 matrix and state the likely outcome.
- Use real‑world examples to illustrate each model and each type of collusion or competition.
- When answering essay questions, evaluate welfare effects (consumer surplus, producer surplus, dead‑weight loss) and discuss the role of competition policy and legal restrictions.